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Magic Trick (Posted on 2009-05-10) Difficulty: 2 of 5
A magician told his friend(X) that he will do a magic trick and gave X 3 cards with 5 distinct non-negative integers written on each card. X was asked to choose a number from each card and tell the sum of the 3 chosen numbers to him. For every possible sum X told him, he answered all the 3 chosen numbers correctly. If you sum all these possible sums, what is the minimum value it can take?

Note: The integers on a card are distinct but integers on two different cards may not be distinct.

No Solution Yet Submitted by Praneeth    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: 189 can be the answer | Comment 7 of 8 |
(In reply to 189 can be the answer by Ritesh)

The possible totals for the three numbers chosen from the set are:

 3 , 4 , 7 , 16 , 43 , 5 , 8 , 17 , 44 , 11 , 20 , 47 , 29 , 56 , 83 , 6 , 9 , 18 , 45 , 12 , 21 , 48 , 30 , 57 , 84 , 15 , 24 , 51 , 33 , 60 , 87 , 42 , 69 , 96 and 123.

These add up to 1323, rather than the 189 you mention.

 


  Posted by Charlie on 2011-04-28 23:27:57
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